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Finding the Fourth Proportional to 189,344.34, 284,100.35 and 100,576.44

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Solution

The fourth proportional to 189,344.34, 284,100.35 and 100,576.44 is: 150,909.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,344.34 : 284,100.35 = 100,576.44 : x
  2. Step 2: Convert to fraction form
    189,344.34/284,100.35 = 100,576.44/x
  3. Step 3: Cross multiply
    189,344.34x = 284,100.35 × 100,576.44
  4. Step 4: Simplify right side
    189,344.34x = 28,573,801,302.87
  5. Step 5: Solve for x
    x = 28,573,801,302.87/189,344.34
  6. Step 6: Final answer
    x = 150,909.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.